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Finding the Third Proportional to 975,537 and 2,086,667

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Solution

The third proportional to 975,537 and 2,086,667 is: 4,463,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,537 : 2,086,667 = 2,086,667 : x
  2. Step 2: Convert to fraction form
    975,537/2,086,667 = 2,086,667/x
  3. Step 3: Cross multiply
    975,537x = 2,086,667 × 2,086,667
  4. Step 4: Simplify right side
    975,537x = 4,354,179,168,889
  5. Step 5: Solve for x
    x = 4,354,179,168,889/975,537
  6. Step 6: Final answer
    x = 4,463,366.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.